Interaction cost of non-local gates
Abstract
We introduce the interaction cost of a non-local gate as the minimal time of interaction required to perform the gate when assisting the process with fast local unitaries. This cost, of interest both in the areas of quantum control and quantum information, depends on the specific interaction, and allows to compare in an operationally meaningful manner any two non-local gates. In the case of a two-qubit system, an analytical expression for the interaction cost of any unitary operation given any coupling Hamiltonian is obtained. One gate may be cheaper than another for any possible interaction. This notion defines a partial order structure, that we analytically characterize in a region of the set of two-qubit gates.Keywords
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